Inverse problems for partial differential equations /
This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems...
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Utrecht, [The Netherlands] :
VSP,
2002
|
| Edition: | Reprint 2012 |
| Series: | Inverse and ill-posed problems series
|
| Subjects: |
| Summary: | This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied. |
|---|---|
| Item Description: | Description based upon print version of record |
| Physical Description: | 1 online resource (219 p.) Issued also in print |
| Bibliography: | Includes bibliographical references |
| ISBN: | 3-11-094463-4 |